1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
A man in a car at location Q on a straight highway is moving with speed $$\upsilon$$. He decides to reach a point P in a field at a distance d from the highway (point M) as shown in the figure. Speed of the car in the field is half to that on the highway. What should be the distance RM, so that the time taken to reach P is minimum ?

A
d
B
$${d \over {\sqrt 2 }}$$
C
$${d \over 2}$$
D
$${d \over {\sqrt 3 }}$$
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
An automobile, travelling at $$40\,$$ km/h, can be stopped at a distance of $$40\,$$ m by applying brakes. If the same automobile is travelling at $$80\,$$ km/h, the minimum stopping distance, in metres, is (assume no skidding) :
A
$$45\,$$ m
B
$$100\,$$ m
C
$$150\,$$ m
D
$$160\,$$ m
3
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travelled by the car and the scooter in $$15$$ $$s$$ and (ii) the time at which the car will catch up with the scooter are, respectively.

A
$$112.5$$ $$m$$ and $$22.5$$ $$s$$
B
$$337.5$$ $$m$$ and $$25$$ $$s$$
C
$$112.5$$ $$m$$ and $$15$$ $$s$$
D
$$225.5$$ $$m$$ and $$10$$ $$s$$
4
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different forward accelerations. The bus has acceleration 2 m/s2 and the car has acceleration 4 m/s2 . The car will catch up with the bus after a time of :
A
$$\sqrt {110} \,s$$
B
$$\sqrt {120} \,s$$
C
$$10\,\,\sqrt 2 \,s$$
D
15 s
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